write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation

Question

(-2, 1); y=-1/3 + 2

and

(4, -5); y=2x + 3

Answer 1

Y= any constant is a horizontal line. The perpendicular is a vertical line, x=-2

for the point (-2,1)

Y=2x+3 has slope 2. The perpendicular has slope = negative reciprocal = -1/2

using the point slope formula the equation is y+5=-1/2(x-4)

Answer 2

Y= any constant is a horizontal line, with slope=0 the vertical line through the point (-2,1) is x=-2 with slope infinity. vertical lines are perpendicular to horizontal lines

Y=2x+3 has slope=2 The perpendicular line has slope-1/2, the negative reciprocal. Use the point slope formula: y+5=2(x-4) or 2x-y=13